What is the Least Common Multiple of 99256 and 99264?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 99256 and 99264 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99256 and 99264, than apply into the LCM equation.

GCF(99256,99264) = 8
LCM(99256,99264) = ( 99256 × 99264) / 8
LCM(99256,99264) = 9852547584 / 8
LCM(99256,99264) = 1231568448

Least Common Multiple (LCM) of 99256 and 99264 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99256 and 99264. First we will calculate the prime factors of 99256 and 99264.

Prime Factorization of 99256

Prime Factorization of 99264

Now multiplying the highest exponent prime factors to calculate the LCM of 99256 and 99264.

LCM(99256,99264) = 2⁶ × 19¹ × 653¹ × 3¹ × 11¹ × 47¹
LCM(99256,99264) = 1231568448